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On the Odd Prime Solutions of the Diophantine Equation xy + yx = zz

Yuanyuan Deng and Wenpeng Zhang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Using the elementary method and some properties of the least solution of Pell’s equation, we prove that the equation xy + yx = zz has no positive integer solutions (x, y, z) with x and y being odd primes.

Date: 2014
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https://doi.org/10.1155/2014/186416

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